I have to say, I'm drawing a blank on this one. The trusty internet did list two Q musicals, neither of which I've heard of, so let's learn about them!
Quilters is about early American pioneer women, and I guess it had a brief run on Broadway in 1984. It was also nominated for several Tony Awards including Best Musical, Best Book of a Musical (aren't all the best things based on books?), and Best Original Score, but from what I can see, it didn't win any of the categories.
Here is the plot summary from Wikipedia:
In the American West, a pioneer woman, Sarah, and six women, who are called her daughters, face frontier life. Rather than a straightforward storyline, the musical is presented as a series of short tales and tableaux matched with musical numbers, each presenting an aspect of frontier life or womanhood. The patches or blocks show "girlhood, marriage, childbirth, spinsterhood, twisters, fire, illness and death." The patches are ultimately put together to form one dramatic tableau.